Summary
The purpose of this paper is to give a characterization of the sets of words accepted by finite linear automata. Since every linear automaton is isomorphic to a parallel product of a nilpotent linear automaton and a nonsingular linear automaton, our characterization is presented for these two classes of automata.
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References
Ecker, K., Ratschek, H.: Eigenschaften der von linearen Automaten erkennbaren Worte. Acta Informat. 3, 365–383 (1974)
Herman, G.T.: Linear regular languages. Part I. Acta Cybernet. 1, 3–12 (1969)
Herman, G.T., Linear regular languages. Part II. Acta Cybernet. 1, 41–56 (1971)
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Maxson, C.J. Linear regular sets. Acta Informatica 10, 203–208 (1978). https://doi.org/10.1007/BF00289156
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DOI: https://doi.org/10.1007/BF00289156